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Finding the Fourth Proportional to 73,138.08, 109,624.16 and 33,613.50

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Solution

The fourth proportional to 73,138.08, 109,624.16 and 33,613.50 is: 50,382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,138.08 : 109,624.16 = 33,613.50 : x
  2. Step 2: Convert to fraction form
    73,138.08/109,624.16 = 33,613.50/x
  3. Step 3: Cross multiply
    73,138.08x = 109,624.16 × 33,613.50
  4. Step 4: Simplify right side
    73,138.08x = 3,684,851,702.16
  5. Step 5: Solve for x
    x = 3,684,851,702.16/73,138.08
  6. Step 6: Final answer
    x = 50,382.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.